Statistical properties of Radio Halos and the re-acceleration model

Galaxy clusters occupy a special position in the cosmic hierarchy as they are the largest bound structures in the Universe. There is now general agreement on a hierarchical picture for the formation of cosmic structures, in which galaxy clusters are supposed to form by accretion of matter and merging between smaller units. During merger events, shocks are driven by the gravity of the dark matter in the diffuse barionic component, which is heated up to the observed temperature. Radio and hard-X ray observations have discovered non-thermal components mixed with the thermal Intra Cluster Medium (ICM) and this is of great importance as it calls for a “revision” of the physics of the ICM. The bulk of present information comes from the radio observations which discovered an increasing number of Mpcsized emissions from the ICM, Radio Halos (at the cluster center) and Radio Relics (at the cluster periphery). These sources are due to synchrotron emission from ultra relativistic electrons diffusing through µG turbulent magnetic fields. Radio Halos are the most spectacular evidence of non-thermal components in the ICM and understanding the origin and evolution of these sources represents one of the most challenging goal of the theory of the ICM. Cluster mergers are the most energetic events in the Universe and a fraction of the energy dissipated during these mergers could be channelled into the amplification of the magnetic fields and into the acceleration of high energy particles via shocks and turbulence driven by these mergers. Present observations of Radio Halos (and possibly of hard X-rays) can be best interpreted in terms of the reacceleration scenario in which MHD turbulence injected during these cluster mergers re-accelerates high energy particles in the ICM. The physics involved in this scenario is very complex and model details are difficult to test, however this model clearly predicts some simple properties of Radio Halos (and resulting IC emission in the hard X-ray band) which are almost independent of the details of the adopted physics. In particular in the re-acceleration scenario MHD turbulence is injected and dissipated during cluster mergers and thus Radio Halos (and also the resulting hard X-ray IC emission) should be transient phenomena (with a typical lifetime <» 1 Gyr) associated with dynamically disturbed clusters. The physics of the re-acceleration scenario should produce an unavoidable cut-off in the spectrum of the re-accelerated electrons, which is due to the balance between turbulent acceleration and radiative losses. The energy at which this cut-off occurs, and thus the maximum frequency at which synchrotron radiation is produced, depends essentially on the efficiency of the acceleration mechanism so that observations at high frequencies are expected to catch only the most efficient phenomena while, in principle, low frequency radio surveys may found these phenomena much common in the Universe. These basic properties should leave an important imprint in the statistical properties of Radio Halos (and of non-thermal phenomena in general) which, however, have not been addressed yet by present modellings. The main focus of this PhD thesis is to calculate, for the first time, the expected statistics of Radio Halos in the context of the re-acceleration scenario. In particular, we shall address the following main questions: • Is it possible to model “self-consistently” the evolution of these sources together with that of the parent clusters? • How the occurrence of Radio Halos is expected to change with cluster mass and to evolve with redshift? How the efficiency to catch Radio Halos in galaxy clusters changes with the observing radio frequency? • How many Radio Halos are expected to form in the Universe? At which redshift is expected the bulk of these sources? • Is it possible to reproduce in the re-acceleration scenario the observed occurrence and number of Radio Halos in the Universe and the observed correlations between thermal and non-thermal properties of galaxy clusters? • Is it possible to constrain the magnetic field intensity and profile in galaxy clusters and the energetic of turbulence in the ICM from the comparison between model expectations and observations? Several astrophysical ingredients are necessary to model the evolution and statistical properties of Radio Halos in the context of re-acceleration model and to address the points given above. For these reason we deserve some space in this PhD thesis to review the important aspects of the physics of the ICM which are of interest to catch our goals. In Chapt. 1 we discuss the physics of galaxy clusters, and in particular, the clusters formation process; in Chapt. 2 we review the main observational properties of non-thermal components in the ICM; and in Chapt. 3 we focus on the physics of magnetic field and of particle acceleration in galaxy clusters. As a relevant application, the theory of Alfv´enic particle acceleration is applied in Chapt. 4 where we report the most important results from calculations we have done in the framework of the re-acceleration scenario. In this Chapter we show that a fraction of the energy of fluid turbulence driven in the ICM by the cluster mergers can be channelled into the injection of Alfv´en waves at small scales and that these waves can efficiently re-accelerate particles and trigger Radio Halos and hard X-ray emission. The main part of this PhD work, the calculation of the statistical properties of Radio Halos and non-thermal phenomena as expected in the context of the re-acceleration model and their comparison with observations, is presented in Chapts.5, 6, 7 and 8. In Chapt.5 we present a first approach to semi-analytical calculations of statistical properties of giant Radio Halos. The main goal of this Chapter is to model cluster formation, the injection of turbulence in the ICM and the resulting particle acceleration process. We adopt the semi–analytic extended Press & Schechter (PS) theory to follow the formation of a large synthetic population of galaxy clusters and assume that during a merger a fraction of the PdV work done by the infalling subclusters in passing through the most massive one is injected in the form of magnetosonic waves. Then the processes of stochastic acceleration of the relativistic electrons by these waves and the properties of the ensuing synchrotron (Radio Halos) and inverse Compton (IC, hard X-ray) emission of merging clusters are computed under the assumption of a constant rms average magnetic field strength in emitting volume. The main finding of these calculations is that giant Radio Halos are naturally expected only in the more massive clusters, and that the expected fraction of clusters with Radio Halos is consistent with the observed one. In Chapt. 6 we extend the previous calculations by including a scaling of the magnetic field strength with cluster mass. The inclusion of this scaling allows us to derive the expected correlations between the synchrotron radio power of Radio Halos and the X-ray properties (T, LX) and mass of the hosting clusters. For the first time, we show that these correlations, calculated in the context of the re-acceleration model, are consistent with the observed ones for typical µG strengths of the average B intensity in massive clusters. The calculations presented in this Chapter allow us to derive the evolution of the probability to form Radio Halos as a function of the cluster mass and redshift. The most relevant finding presented in this Chapter is that the luminosity functions of giant Radio Halos at 1.4 GHz are expected to peak around a radio power » 1024 W/Hz and to flatten (or cut-off) at lower radio powers because of the decrease of the electron re-acceleration efficiency in smaller galaxy clusters. In Chapt. 6 we also derive the expected number counts of Radio Halos and compare them with available observations: we claim that » 100 Radio Halos in the Universe can be observed at 1.4 GHz with deep surveys, while more than 1000 Radio Halos are expected to be discovered in the next future by LOFAR at 150 MHz. This is the first (and so far unique) model expectation for the number counts of Radio Halos at lower frequency and allows to design future radio surveys. Based on the results of Chapt. 6, in Chapt.7 we present a work in progress on a “revision” of the occurrence of Radio Halos. We combine past results from the NVSS radio survey (z » 0.05 − 0.2) with our ongoing GMRT Radio Halos Pointed Observations of 50 X-ray luminous galaxy clusters (at z » 0.2−0.4) and discuss the possibility to test our model expectations with the number counts of Radio Halos at z » 0.05 − 0.4. The most relevant limitation in the calculations presented in Chapt. 5 and 6 is the assumption of an “averaged” size of Radio Halos independently of their radio luminosity and of the mass of the parent clusters. This assumption cannot be released in the context of the PS formalism used to describe the formation process of clusters, while a more detailed analysis of the physics of cluster mergers and of the injection process of turbulence in the ICM would require an approach based on numerical (possible MHD) simulations of a very large volume of the Universe which is however well beyond the aim of this PhD thesis. On the other hand, in Chapt.8 we report our discovery of novel correlations between the size (RH) of Radio Halos and their radio power and between RH and the cluster mass within the Radio Halo region, MH. In particular this last “geometrical” MH − RH correlation allows us to “observationally” overcome the limitation of the “average” size of Radio Halos. Thus in this Chapter, by making use of this “geometrical” correlation and of a simplified form of the re-acceleration model based on the results of Chapt. 5 and 6 we are able to discuss expected correlations between the synchrotron power and the thermal cluster quantities relative to the radio emitting region. This is a new powerful tool of investigation and we show that all the observed correlations (PR − RH, PR − MH, PR − T, PR − LX, . . . ) now become well understood in the context of the re-acceleration model. In addition, we find that observationally the size of Radio Halos scales non-linearly with the virial radius of the parent cluster, and this immediately means that the fraction of the cluster volume which is radio emitting increases with cluster mass and thus that the non-thermal component in clusters is not self-similar.

Periferie e mondi operai: immigrazione, spazi sociali e ambiti culturali negli anni '50

La tesi analizza il rapporto tra pratiche sociali, modelli di insediamento e morfologia urbana in due casi di costruzione di un tessuto urbano operaio che si prestano ad una stimolante comparazione. Da un lato abbiamo degli immigrati verso un polo industriale dell’area metropolitana milanese (Sesto San Giovanni), dall’altro un bacino minerario vallone (La Louvière). Si tratta di contesti di inserimento in aree industriali profondamente differenti dal punto di vista della morfologia sociale e dell’organizzazione territoriale, che profilano spazi ibridi tra rurale e urbano in profonda e rapida trasformazione, a causa del massiccio afflusso di manodopera immigrata. Le profonde differenze tra le due aree consentono di mettere alla prova dell’analisi comparata concetti e percorsi storici dell’integrazione, del tessuto sociale che la presuppone, della cittadinanza, della costruzione delle identità collettive in modo da superare stereotipe dicotomie tra rurale/urbano, tradizione/moderno, integrazione/conflitto. La tesi sviluppa un’analisi parallela dei due casi lungo un crinale argomentativo unitario che si apre con una ricerca sui flussi migratori e i contesti di approdo delle migrazioni. Nei primi due capitoli viene delineato il contesto economico, sociale e territoriale nel quale si inseriscono i due processi migratori. Per il caso belga, si analizzano il ciclo economico dell’industria carbonifera, il processo di spopolamento della Vallonia, l’avvio dei flussi migratori al termine della seconda guerra mondiale e i meccanismi che li hanno presieduti, vale a dire una migrazione contrattata tra i due governi che spostavano migranti provenienti da poche e selezionate località, rendono conto del primo dei due flussi. Per quanto riguarda il caso interno, viene delineato il contesto della rapida urbanizzazione che porta una serie di comuni contermini al capoluogo lombardo ad entrare nell’orbita metropolitana, qualificandosi come poli periferici di un’area vasta e perdendo la riconoscibilità come nuclei urbani indipendenti. Delineato questo quadro generale, la tesi affronta la questione delle abitazioni e delle forme urbane che assumono queste due mete di migrazione. Per quanto riguarda La Louvière, è ricostruito il duro impatto con il mondo del lavoro nelle miniere e le miserevoli condizioni abitative dei primi immigrati, l’assenza di una iniziativa pubblica nel settore abitativo fino al 1954, solo debolmente compensata dalle iniziative patronali, e la fase invece della seconda metà degli anni ‘50 che porta alla stabilizzazione degli immigrati italiani nell’area. Di Sesto San Giovanni viene ricostruita la complessa transizione a moderna periferia urbana, a partire da insediamenti di tipo rurale, passando attraverso le «Coree» e l’iniziativa pubblica, locale e nazionale, nonché l’intervento edilizio delle grandi imprese industriali che operavano nel suo territorio. L’intervento urbanistico nella cintura metropolitana milanese era al centro di un vivace dibattito sulla pianificazione urbanistica a livello intercomunale che dà luogo a ricerche e studi sulla condizione abitativa. Nell’ultima parte della ricerca, si approfondiscono gli aspetti sociali e culturali del percorso di insediamento e di integrazione nel tessuto urbano. E’ in questa parte che vengono maggiormente utilizzate le fonti orali – sempre opportunamente affiancate e confrontate con altri documenti – al fine di individuare la percezione di sé, della propria identità, le relazioni con altri gruppi sociali, i cambiamenti che la migrazione e l’incontro con la città e l’industria portano nei ruoli di genere, nelle prospettive di vita, nei desideri e nei progetti di questi migranti. Rilevando le peculiarità di due esperienze sociali di migrazione che a partire da contesti di partenza molto simili e portando perlopiù dei contadini ad incontrare città di un mondo lontano, la comparazione profila dinamiche sociali, identitarie e politiche profondamente diverse nei bacini minerari valloni e nella metropoli del miracolo.

Outcome respiratorio a lungo termine nei soggetti affetti da cardiopatia congenita sottoposti ad intervento cardiochirurgico

Introduction: In the last years cardiac surgery for congenital heart disease (CHD) reduced dramatically mortality modifying prognosis, but, at the same time, increased morbidity in this patient population. Respiratory and cardiovascular systems are strictly anatomically and functionally connected, so that alterations of pulmonary hemodynamic conditions modify respiratory function. While very short-term alterations of respiratory mechanics after surgery were investigated by many authors, not as much works focused on long-term changes. In these subjects rest respiratory function may be limited by several factor: CHD itself (fetal pulmonary perfusion influences vascular and alveolar development), extracorporeal circulation (CEC), thoracotomy and/or sternotomy, rib and sternal contusions, pleural adhesions and pleural fibrosis, secondary to surgical injury. Moreover inflammatory cascade, triggered by CEC, can cause endothelial damage and compromise gas exchange. Aims: The project was conceived to 1) determine severity of respiratory functional impairement in different CHD undergone to surgical correction/palliation; 2) identify the most and the least CHD involved by pulmonary impairement; 3) find a correlation between a specific hemodynamic condition and functional anomaly, and 4) between rest respiratory function and cardiopulmonary exercise test. Materials and methods: We studied 113 subjects with CHD undergone to surgery, and distinguished by group in accord to pulmonary blood flow (group 0: 28 pts with normal pulmonary flow; group 1: 22 pts with increased flow; group 2: 43 pts with decreased flow; group 3: 20 pts with total cavo-pulmonary anastomosis-TCPC) followed by the Pediatric Cardiology and Cardiac Surgery Unit, and we compare them to 37 age- and sex-matched healthy subjects. In Pediatric Pulmonology Unit all pts performed respiratory function tests (static and dynamic volumes, flow/volume curve, airway resistances-raw- and conductance-gaw-, lung diffusion of CO-DLCO- and DLCO/alveolar volume), and CHD pts the same day had cardiopulmonary test. They all were examined and had allergological tests, and respiratory medical history. Results: restrictive pattern (measured on total lung capacity-TLC- and vital capacity-VC) was in all CHD groups, and up to 45% in group 2 and 3. Comparing all groups, we found a significant difference in TLC between healthy and group 2 (p=0.001) and 3 (p=0.004), and in VC between group 2 and healthy (p=0.001) and group 1(p=0.034). Inspiratory capacity (IC) was decreased in group 2 related to healthy (p<0.001) and group 1 (p=0.037). We showed a direct correlation between TLC and VC with age at surgery (p=0.01) and inverse with number of surgical interventions (p=0.03). Reduced FEV1/FVC ratio, Gaw and increased Raw were mostly present in group 3. DLCO was impaired in all groups, but up to 80% in group 3 and 50% in group 2; when corrected for alveolar volume (DLCO/VA) reduction persisted in group 3 (20%), 2 (6.2%) and 0 (7.1%). Exercise test was impaired in all groups: VO2max and VE markedly reduced in all but especially in group 3, and VE/VCO2 slope, marker of ventilatory response to exercise, is increased (<36) in 62.5% of group 3, where other pts had anyway value>32. Comparing group 3 and 2, the most involved categories, we found difference in VO2max and VE/VCO2 slope (respectively p=0.02 and p<0.0001). We evidenced correlation between rest and exercise tests, especially in group 0 (between VO2max and FVC, FEV1, VC, IC; inverse relation between VE/VCO2slope and FVC, FEV1 and VC), but also in group 1 (VO2max and IC), group 2 (VO2max and FVC and FEV1); never in group 3. Discussion: According with literature, we found a frequent impairment of rest pulmonary function in all groups, but especially in group 2 and 3. Restrictive pattern was the most frequent alteration probably due to compromised pulmonary (vascular and alveolar) development secondary to hypoperfusion in fetal and pre-surgery (and pre-TCPC)life. Parenchymal fibrosis, pleural adhesions and thoracic deformities can add further limitation, as showed by the correlation between group 3 and number of surgical intervention. Exercise tests were limited, particularly in group 3 (complex anatomy and lost of chronotropic response), and we found correlations between rest and exercise tests in all but group 3. We speculate that in this patients hemodynamic exceeds respiratory contribution, though markedly decreased.

La città e i consumi. Consumi e trasformazioni urbane a Bologna tra anni '50 e '70

Il primo capitolo di questo lavoro è dedicato all’opera svolta dagli amministratori locali e da un ente governativo come la Camera di commercio per arrivare a decifrare le effettive caratteristiche del quadro locale dal punto di vista economico, sociale, della percezione e del significato che assumono i consumi e gli spazi urbani ad essi dedicati. La caratteristica più originale rilevata dagli amministratori (che contano tra le proprie fila studiosi come Ardigò, Zangheri e Bellettini) è quella di una notevole omogeneità politica e culturale del quadro sociale. E questo, nonostante le massicce immigrazioni che sono, in proporzione, seconde solo quelle di Milano, ma per la stragrande maggioranza provenienti dalla stessa provincia o, al massimo, dalla regione e da analoghi percorsi di socializzazione e di formazione. Fondando essenzialmente su questa omogeneità (capitolo secondo), gli enti bolognesi cercarono di governare la trasformazione della città e anche l’espansione dei consumi che appariva colpita da eccessi e distorsioni. Facendo leva sulle pesanti crisi del 1963-1965 e del 1973-1977, gli amministratori locali puntarono ad ottenere la propria legittimazione fondandola proprio sui consumi, sulla base di una precisa cognizione del nuovo che arrivava, ma schierandosi decisamente a contenerne gli effetti dirompenti sul tessuto locale e indirizzando gli sforzi acquisitivi dei bolognesi sulla base di una temperante razionalizzazione nutrita di pianificazione urbanistica. Ritardi, spinte dal basso, ostacoli burocratici e legislativi resero questi percorsi difficili, o comunque assai poco lineari; fino a che l’ingresso negli anni Ottanta non ne modificò sensibilmente il corso. Ma questo, allo stato attuale delle conoscenze, è già tema per nuova ricerca. Il terzo capitolo è dedicato alla visualizzazione cartografica (GIS) dell’espansione degli spazi commerciali urbani durante le fasi più significative del miracolo.